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Fourier and Laplace Transforms

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textbook
  • Date Published: February 2010
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511669002

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  • This textbook describes in detail the various Fourier and Laplace transforms that are used to analyze problems in mathematics, the natural sciences and engineering. These transforms decompose complicated signals into elementary signals, and are widely used across the spectrum of science and engineering. Applications include electrical and mechanical networks, heat conduction and filters. In contrast with other books, continuous and discrete transforms are given equal coverage.

    • Textbook written for self-study, complete with illustrated definitions, theorems and concepts
    • Includes a rigorous treatment of distribution theory
    • Solutions available to lecturers from solutions@cambridge.org
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    Reviews & endorsements

    "...[this] book is complete, systematic, and attractive. Much of its effectiveness stems from the thoughtful structure, both in the organization and development of topics and in the clear and clean layout. ...recommended." Choice

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    Product details

    • Date Published: February 2010
    • format: Adobe eBook Reader
    • isbn: 9780511669002
    • contains: 50 tables 125 exercises
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface
    Introduction
    1. Signals and systems
    2. Mathematical prerequisites
    3. Fourier series: definition and properties
    4. The fundamental theorem of Fourier series
    5. Applications of Fourier series
    6. Fourier integrals: definition and properties
    7. The fundamental theorem of the Fourier integral
    8. Distributions
    9. The Fourier transform of distributions
    10. Applications of the Fourier integral
    11. Complex functions
    12. The Laplace transform: definition and properties
    13. Further properties, distributions, and the fundamental theorem
    14. Applications of the Laplace transform
    15. Sampling of continuous-time signals
    16. The discrete Fourier transform
    17. The fast Fourier transform
    18. The z-transform
    19. Applications of discrete transforms.

  • Resources for

    Fourier and Laplace Transforms

    R. J. Beerends, H. G. ter Morsche, J. C. van den Berg, E. M. van de Vrie

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  • Authors

    R. J. Beerends, Ministry of Defence, The Hague

    H. G. ter Morsche, Technische Universiteit Eindhoven, The Netherlands

    J. C. van den Berg, Agricultural University, Wageningen, The Netherlands

    E. M. van de Vrie, Open Universiteit

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